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Beliebt Rechnen >

(y^2+2)dx+3xydy=0

Lösung

(y^{2} + 2) d x + 3 \cdot x \cdot y d y = 0

Lösung

y = \frac{c _{1} - 2 x ^{\frac{2}{3}}}{x ^{\frac{2}{3}}}, y = - \frac{c _{1} - 2 x ^{\frac{2}{3}}}{x ^{\frac{2}{3}}}

Schritte zur Lösung

(y^{2} + 2) d x + 3 \cdot x \cdot y d y = 0

Solve separable ODE:

y = \frac{c _{1} - 2 x ^{\frac{2}{3}}}{x ^{\frac{2}{3}}}, y = - \frac{c _{1} - 2 x ^{\frac{2}{3}}}{x ^{\frac{2}{3}}}

y = \frac{c _{1} - 2 x ^{\frac{2}{3}}}{x ^{\frac{2}{3}}}, y = - \frac{c _{1} - 2 x ^{\frac{2}{3}}}{x ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

f^'(t)-f(t)=2,f(0)=0

f^{^{'}} (t) - f (t) = 2, f (0) = 0

y y^{^{'}} = x - x y

(dy)/(dt)=(e^t)/(2y)

\frac{d y}{d t} = \frac{e ^{t}}{2 y}

(dy)/(dx)=4y^2,ln(x)y(1)=-1

\frac{d y}{d x} = 4 y^{2}, ln (x) y (1) = - 1

y(dy)/(dx)+1/(sqrt(1-x^2))(y^2+1)=0

y \frac{d y}{d x} + \frac{1}{1 - x ^{2}} (y^{2} + 1) = 0